Use the following information for the remaining questions. (18 Points) Ann would like to buy a house. It costs $600,000. Her down payment will be $100,000. She will take out a mortgage for the remainder. It will be a 30 year, fully amortizing, FRM, with constant monthly payments and monthly compounding. The annual interest rate is 7.00%. She will pay $5,000 in closing costs at origination. She will also pay 1.75% of the balance in buy-down points at origination. Note: the home is bought and the loan is taken in month 0, the first payment is due in month 1 In the spreadsheet where it says "cash inflow", "outflow" and "net cash flow" you should only take into account cash flow related to the mortgage. 2. Fill in the spreadsheet (sheet "FA AMORTIZATION SCHEDULE") for Ann. (It is called an amortization schedule or amortization calendar.) 3. Compute Ann's annualized IRR for the mortgage in the spreadsheet. (Use the net cash flow.) (3.a) What is the annualized IRR for the mortgage? (3.b) Is it higher or lower than the mortgage contract rate? (3.c) Why? 4. Plot Ann's mortgage balance in one graph. Place the graph here. NOTE: THE FOLLOWING PART OF THE ASSIGNMENT IS OPTIONAL (BUT FUN) AND PROVIDES 7.5 POSSIBLE POINTS IN EXTRA CREDIT! Partially Amortizing (PA) Amortization Schedule In the sheet titled "PA AMORTIZATION SCHEDULE assume all is the same as before EXCEPT there is a $50,000 balloon due in 30 years. 8. Fill in the spreadsheet for Ann. (It is called an amortization schedule or amortization calendar.) 9. Compute Ann's annualized IRR for the mortgage in the spreadsheet. (Use the net cash flow.) (9.a) What is the annualized IRR for the mortgage? (9.b) Is it higher or lower than the mortgage contract rate? (9.c) Why? 10. Plot Ann's mortgage balance in one graph. Place the graph here. 11. Plot Ann's monthly mortgage payment, interest payment and principal payment in one graph. Place the graph here (note: don't include the final balloon payment in Ann's monthly mortgage payment) She forecasts four possible scenarios for house price appreciation (HPA). Optimistic Case: 4.596 annual HPA, hence 4.5/12% monthly HPA Base Case: 2.5% annual HPA, hence 2.5/12% monthly HPA Pessimistic Case: 0% annual HPA, hence 0/12% monthly HPA Very Bad Case: -6% annual HPA, hence -6/12% monthly HP 12. Plot Ann's home equity every month under each of the four HPA scenarios in one graph. Place the graph here. 13. Assume Ann will make the required monthly payment every month for 30 years. (13.a) How much home equity will Ann have after 10 years (120 months) of payments under each of the four scenarios? (13.b) After 30 years? 5. Plot Ann's monthly mortgage payment, interest payment and principal payment in one graph. Place the graph here. She forecasts four possible scenarios for house price appreciation (HPA). Optimistic Case: 4.5% annual HPA, hence 4.5/12% monthly HPA Base Case: 2.5% annual HPA, hence 2.5/12% monthly HPA Pessimistic Case: 0% annual HPA, hence 0/12% monthly HPA Very Bad Case: -6% annual HPA, hence -6/12% monthly HPA 6. Plot Ann's home equity every month under each of the four HPA scenarios in one graph. Place the graph here. 7. Assume Ann will make the required monthly payment every month for 30 years. (7.a) How much home equity will Ann have after 10 years (120 months) of payments under each of the four scenarios? (7.b) After 30 years? + Optimistic 3Base Pessimistic Scenario: HPA Optimistic Base Pessimistic Very Bad 4.50% 2.50% 0.0036 -6.00% Home Equity 10 years in Home Equity in 30 years Scenario HPA Home Equity years in 10 Home Equity in 30 years 4.50% 2.50% 0.0096 Very Bad -6.00%